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Finding the Third Proportional to 317,893,073,460 and 488,624,445,691

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Solution

The third proportional to 317,893,073,460 and 488,624,445,691 is: 751,050,805,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,893,073,460 : 488,624,445,691 = 488,624,445,691 : x
  2. Step 2: Convert to fraction form
    317,893,073,460/488,624,445,691 = 488,624,445,691/x
  3. Step 3: Cross multiply
    317,893,073,460x = 488,624,445,691 × 488,624,445,691
  4. Step 4: Simplify right side
    317,893,073,460x = 238,753,848,926,837,007,187,968
  5. Step 5: Solve for x
    x = 238,753,848,926,837,007,187,968/317,893,073,460
  6. Step 6: Final answer
    x = 751,050,805,631.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.